Browsing by Author "Ahmad, Khaleel"

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Citation - Scopus: 2
Common Fixed Point, Baire's and Cantor's Theorems in Neutrosophic 2- Metric Spaces
(Amer inst Mathematical Sciences-aims, 2022) Ahmad, Khaleel; Asjad, Muhammad Imran; Ali, Farhan; Jarad, Fahd; Ishtiaq, Umar; 234808; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
These fundamental Theorems of classical analysis, namely Baire's Theorem and Cantor's Intersection Theorem in the context of Neutrosophic 2-metric spaces, are demonstrated in this article. Naschie discussed high energy physics in relation to the Baire's Theorem and the Cantor space in descriptive set theory. We describe, how to demonstrate the validity and uniqueness of the common fixed-point theorem for four mappings in Neutrosophic 2-metric spaces.
Citation - WoS: 2
Citation - Scopus: 1
Fixed Point Theorems for Controlled Neutrosophic Metric-Like Spaces
(Amer inst Mathematical Sciences-aims, 2022) Ishtiaq, Umar; Saleem, Naeem; Ahmad, Khaleel; Jarad, Fahd; Uddin, Fahim; 234808; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
In this paper, we establish the concept of controlled neutrosophic metric -like spaces as a generalization of neutrosophic metric spaces and provide several non -trivial examples to show the spuriousness of the new concept in the existing literature. Furthermore, we prove several fixed point results for contraction mappings and provide the examples with their graphs to show the validity of the results. At the end of the manuscript, we establish an application to integral equations, in which we use the main result to find the solution of the integral equation.